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Jose Is cooking a roast. The table below gives the temperature (1) of the roast (In degrees Celsius), at a few timest (In minutes) after he removed it from theoven.Timet Temperature R (1)(minutes)(c)010305070226.6205.6157.6119.661.6(a) Find the average rate of change for the temperaturefrom 0 minutes to 10 minutes.0 °C per minute(b) Find the average rate of change for the temperaturefrom 30 minutes to 50 minutes.[ °C per minute

Jose Is Cooking A Roast The Table Below Gives The Temperature 1 Of The Roast In Degrees Celsius At A Few Timest In Minutes After He Removed It From TheovenTimet class=

Sagot :

(a). From the given table,

R(0)=226.6

R(10)=205.6

The average rate of change for the temperature from 0 minutes to 10 minutes is

[tex]\begin{gathered} A=\frac{R(10)-R(0)}{10-0} \\ =\frac{205.6-226.6}{10} \\ =-2.1 \end{gathered}[/tex]

(a) The average rate of change for the temperature from 0 minutes to 10 minutes is -2.1 (in degree centrigrade)

Minus sign implies that the temperature is deacreasing with increasing time

(b). Again,

R(30)=157.6

R(50)=119.6

The average rate of change for the temperature from 30 minutes to 50 minutes is

[tex]\begin{gathered} A=\frac{R(50)-R(30)}{50-30} \\ =\frac{119.6-157.6}{20} \\ =-1.9 \end{gathered}[/tex]

(b) The average rate of change for the temperature from 30 minutes to 50 minutes is -1.9 (in degree centrigrade)

Minus sign implies that the temperature is deacreasing with increasing time

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